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Full text of "Analytical Mechanics"

MOTION OF A PARTICLE                        139
21.   From the following data show that the velocity with which a body has to be projected from the moon in order to reach the earth is about L5 miles per sec.   Both the earth and the moon are supposed to be at rest. The mass of the moon is A of that of the earth.   The radii of the earth and the moon are 4000 miles and 1100 miles, respectively.   The distance between the earth and the moon is 240,000 miles.
22.  Taking the data of the preceding problem, show that if the earth and the moon were reduced to rest they would meet, under their mutual attraction, in about 4.5 days,